if a circle is divided into eight equal parts what is the total angle measure of 5 of those parts
(5/8) * 360 = 5 * 45 = 225 degrees
If a circle is divided into eight equal parts, each part is referred to as an eighth of a circle. The total angle measure of a circle is 360 degrees.
To find the total angle measure of 5 parts, we can set up a proportion:
8 parts = 360 degrees
5 parts = x degrees
Using cross multiplication, we have:
8x = 5 * 360
8x = 1800
Dividing both sides by 8, we find:
x = 225
Therefore, the total angle measure of 5 parts in a circle divided into eight equal parts is 225 degrees.
To find the total angle measure of 5 out of the 8 equal parts of a circle, you can use the concept of central angles.
A circle has a total of 360 degrees (since a full rotation corresponds to 360 degrees). If you divide the circle into 8 equal parts, each part is called a sector, and each sector will have an equal central angle.
To determine the measure of this central angle, you divide the total angle (360 degrees) by the number of equal parts (8).
So, each sector has a central angle of 360 degrees ÷ 8 parts = 45 degrees.
To find the total angle measure of 5 parts, you multiply the central angle measure of each part (45 degrees) by the number of parts (5).
Therefore, the total angle measure of 5 parts is 45 degrees × 5 = 225 degrees.